GCD of 748, 268, 418, 844 Calculator

Given Input numbers are 748, 268, 418, 844

In the factoring method, we have to find the divisors of all numbers

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (748, 268, 418, 844) = 2.

Given numbers are 748, 268, 418, 844

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 268 are 2 x 2 x 67

Prime factors of 418 are 2 x 11 x 19

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 748, 268, 418, 844 is 2.

Given numbers are 748, 268, 418, 844

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(748, 268) = 50116

GCD(748, 268) = ( 748 x 268 ) / 50116

= 748 / 268

= 748

Step2:

LCM(4, 418) = 836

GCD(4, 418) = ( 4 x 418 ) / 836

= 4 / 418

= 4

Step3:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

So, Greatest Common Divisor of 748, 268, 418, 844 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 456, 686, 193
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• GCD of 662, 758, 842, 457

Given numbers are 748, 268, 418, 844
The greatest common divisor of numbers 748, 268, 418, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 268, 418, 844 is 2.

1. What is the GCD of 748, 268, 418, 844?

GCD of given numbers 748, 268, 418, 844 is 2

2. How to calculate the greatest common divisor of 748, 268, 418, 844?

We can find the highest common divisor of 748, 268, 418, 844 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 748, 268, 418, 844 i.e 2.

3. How can I use the GCD of 748, 268, 418, 844Calculator?

Out the numbers 748, 268, 418, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.